Joe is finding the length of a rectangular prism the volume of the prism is 204 ft the width is 3.5 ft and the height is 5 ft his work is shown below 204=3.5(5)/

204=8.5/

204/8.5=8.5/8.5/

24=/

what error did Joe make?

he incorrectly substituted into the volume formula

he added 3.5 and 5 when he should have multiplied them

he incorrectly divided 204 by 8.5

he did not make a mistake and finding the length of the prism

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation:

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

~dasgupta/mathbook/append17dec2k8.pdf